λ
Sequence Observatory

2,697,897

3 × 727 × 1237
Deficient Odd Composite

Starting at 2,697,897, the Collatz iteration reaches 1 after 231 steps. The first transition is 8093692; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 727 × 1237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,605,056
Proper Divisor Sum 907,159
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #2697887 ← → #2697911

Radix Representation

Decimal 2697897
Binary 1010010010101010101001 (22 bits)
Octal 0o12225251
Hexadecimal 0x292AA9

Divisor Catalog (8)

1 3 727 1,237 2,181 3,711 899,299 2,697,897

Collatz Trajectory (231 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,697,897 8,093,692 4,046,846 2,023,423 6,070,270 3,035,135 9,105,406 4,552,703 13,658,110 6,829,055 20,487,166 10,243,583 30,730,750 15,365,375 46,096,126 23,048,063 69,144,190 34,572,095 103,716,286 51,858,143 155,574,430 77,787,215 233,361,646 116,680,823 350,042,470 175,021,235 525,063,706 262,531,853 787,595,560 393,797,780 196,898,890 98,449,445 295,348,336 147,674,168 73,837,084 36,918,542 18,459,271 55,377,814 27,688,907 83,066,722 41,533,361 124,600,084 62,300,042 31,150,021 93,450,064 46,725,032 23,362,516 11,681,258 5,840,629 17,521,888 8,760,944 4,380,472 2,190,236 1,095,118 547,559 1,642,678 821,339 2,464,018 1,232,009 3,696,028

More profiles

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